Use GitHub auto-generated social media previews with repository-specific images

I love the GitHub auto-generated previews for social media. However, I have a GitHub organization with many repository-specific logos. The social media preview is created from the GitHub organization image, and if I set a repository-specific social media image, it overrides the auto-generated preview image entirety.

So I wonder if it is possible to keep the auto-generated image behavior, but with a square image that I can set per-repository rather than per organization? Would appreciate any help!